Weyl submersions of Weyl manifolds

Fumio Narita. "Weyl submersions of Weyl manifolds." Colloquium Mathematicae 107.1 (2007): 119-140. <http://eudml.org/doc/284279>.

@article{FumioNarita2007,
abstract = {We define Weyl submersions, for which we derive equations analogous to the Gauss and Codazzi equations for an isometric immersion. We obtain a necessary and sufficient condition for the total space of a Weyl submersion to admit an Einstein-Weyl structure. Moreover, we investigate the Einstein-Weyl structure of canonical variations of the total space with Einstein-Weyl structure.},
author = {Fumio Narita},
journal = {Colloquium Mathematicae},
keywords = {Weyl submersion; Einstein-Weyl manifold; canonical variations},
language = {eng},
number = {1},
pages = {119-140},
title = {Weyl submersions of Weyl manifolds},
url = {http://eudml.org/doc/284279},
volume = {107},
year = {2007},
}

TY - JOUR
AU - Fumio Narita
TI - Weyl submersions of Weyl manifolds
JO - Colloquium Mathematicae
PY - 2007
VL - 107
IS - 1
SP - 119
EP - 140
AB - We define Weyl submersions, for which we derive equations analogous to the Gauss and Codazzi equations for an isometric immersion. We obtain a necessary and sufficient condition for the total space of a Weyl submersion to admit an Einstein-Weyl structure. Moreover, we investigate the Einstein-Weyl structure of canonical variations of the total space with Einstein-Weyl structure.
LA - eng
KW - Weyl submersion; Einstein-Weyl manifold; canonical variations
UR - http://eudml.org/doc/284279
ER -